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At a basketball game, members of the Spirit Club use a t-shirt cannon to launch team t-shirts to spectators in the stands.
The equation below describes the height h of the t-shirt t seconds after it is shot from the cannon c feet above the
ground, at an initial velocity of v.
h = -16t² + vt + c
1. Solve the equation for the initial velocity v.
2. The cannon launched a t-shirt from an initial height of 5 feet. After 3 seconds the shirt has reached a height of 131
feet. Use your equation from #1 to find the initial velocity of the t-shirt. Show your work.
3. What does the equation from #1 tell you about the value of the velocity v when t = 0? Explain.